(Note: When computing, round the estimated standard error to three decimal places, the test statistic to two decimal places, and the P-value to three decimal places.)
For many years, the mean gas mileage on a long trip for a certain car was 26.5 miles per gallon. When a newly designed engine was incorporated into the car, the mean gas mileage appeared to change. In a random sample of 15 cars that have the new engine, the mean gas mileage was 26.9 miles per gallon with a standard deviation of 0.55 miles per gallon. At the 0.05 significance level, is there sufficient evidence to conclude that the mean miles per gallon of all cars with the new engine is greater than the prior average? We can assume that the population of miles per gallon values are normally distributed.
What is the P-value?
You may use the Desmos function tdist(d.f.) OR the link found here to find P-values.